120545948061504 has 336 divisors, whose sum is σ = 396329442462720. Its totient is φ = 34315824660480.

The previous prime is 120545948061491. The next prime is 120545948061523. The reversal of 120545948061504 is 405160849545021.

It is a happy number.

120545948061504 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 4 + 5 + 9 + 480 + 6 + 150 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1237932562 + ... + 1238029934.

Almost surely, 2^{120545948061504} is an apocalyptic number.

120545948061504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120545948061504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198164721231360).

120545948061504 is an abundant number, since it is smaller than the sum of its proper divisors (275783494401216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120545948061504 is a wasteful number, since it uses less digits than its factorization.

120545948061504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98518 (or 98505 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 120545948061504 in words is "one hundred twenty trillion, five hundred forty-five billion, nine hundred forty-eight million, sixty-one thousand, five hundred four".